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Finding the Fourth Proportional to 162,821.80, 244,038.30 and 83,895.40

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Solution

The fourth proportional to 162,821.80, 244,038.30 and 83,895.40 is: 125,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,821.80 : 244,038.30 = 83,895.40 : x
  2. Step 2: Convert to fraction form
    162,821.80/244,038.30 = 83,895.40/x
  3. Step 3: Cross multiply
    162,821.80x = 244,038.30 × 83,895.40
  4. Step 4: Simplify right side
    162,821.80x = 20,473,690,793.82
  5. Step 5: Solve for x
    x = 20,473,690,793.82/162,821.80
  6. Step 6: Final answer
    x = 125,742.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.